Content
- Introduction of differential calculus
- Increasing and decreasing functions
- Differentiating polynomials
- Tangents and normal
- Integration introduction, areas between curve and  axis
- Differentiating polynomials. Chain, product and quotient rules
- The second derivative
- Testing for max and min, optimisation. Points of inflexion
- Kinematics problems
- Indefinite integration, reverse chain, by substitution
- Definite integrals, areas under curve onto -axis and areas between curves
- First principles, higher derivatives
- Limits and L’Hopitals
- Implicit functions, related rates, optimisation
- Further derivatives and indefinite integration of these, partial fractions
- Integration by substitution, parts and repeated parts
- Areas under curve onto -axis, volume of revolution (about  and  axes)
- 1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub
- Maclaurin series
Course Features
- Lectures 23
- Quiz 0
- Duration 10 hours
- Skill level All levels
- Language English
- Students 29
- Assessments Yes
